A game show contestant cannot spend more than $100 on $0.79 cans of beans and $3.59 boxes of cereal. Which inequality represents the situation, where b is the number of cans of beans and c is the number of boxes of cereal?

1) with 3/5 as a fraction one whole number can be written as 5/5

so you could rewrite 4 as 3 and 5/5 now subtract 3/5 and you are left with

3 and 2/5

2) one whole number can be written as 7/7

Now you have 4 and 7/7 minus 4/7 to get 4 and 3/7

Using the same steps for the rest:

3) 5 and 3/3 -2/3 = 5 and 1/3

4) 4 and 8/8 - 7/8 = 4 and 1/8

5) 6 and 5/5 - 2/5 = 6 and 3/5

Answer:

To solve for n, working backwards can help a lot.

Step-by-step explanation:

The last step we took to result in 40 was to add 12. Therefore, working backward would acquit us to subtract 12.

40 - 12 = 28

After we have done that, we need to observe the first step that we took. This was to double n. Similar, to the last order of operations we took in the previous step, we need to perform the opposite of doubling a number. Because the number is being doubled, it is being multiplied by itself. For example, if we double 4, we would receive 8. Likewise, 4² is 8. So, what is the opposite of multiplication? Well, it's division of course!

28 ÷ 2 is 14.

Therefore, n is 14.

By transforming the second order polynomial 5 · x² - 30 · x = 5 into its standard form, the polynomial is equivalent to (x - 3)² = 9.833. (Correct choice: A) #SPJ5

The standard form of a parabola is a synthetic form that brings useful information of the geometric locus. This form is derived by applying the method of completing a square, which is based on algebra properties to transform and reduce a part of a second order polynomial into a perfect square trinomial.

Now we proceed to show the procedure to obtain the expression equivalent to the polynomial described in the statement:

5 · x² - 30 · x = 5

x² - 6 · x = 5/6

x² - 6 · x + 9 = 59/6

(x - 3)² = 59/6

(x - 3)² = 9.833

By transforming the second order polynomial 5 · x² - 30 · x = 5 into its standard form, the polynomial is equivalent to (x - 3)² = 9.833. (Correct choice: A) #SPJ5

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Answer:

88/17

Step-by-step explanation:

5x · 7/8 - 3x · 3/4 = 11

35x/8 - 18x/8 = 17x/8

17x/8 = 11

17x = 88

x = 88/17

Answer:

B:  13.5 in^2

Step-by-step explanation:

The average length of this trapezoid is (4 in + 5 in)/2, or 4.5 in.

The height is 3 in.

Thus, the area is A = (average length)(height) = (4.5 in)(3 in) = 13.5 in^2

Step-by-step explanation:

Please refer to the attachment

Answer:  

9   (5/12)

9  (1/2)

3   (3/5)

6   (1/4)

6  (1/4)

5   (1/5)

4  (1/3)

9   (3/4)

6   (4/5)

5   (2/5)

6   (5/8)

7   (1/5)

5   (1/2)

5   (5/8)

8   (2/5)

Step-by-step explanation:

I simplified the fractions too.

Answer:

15 red cars + 24 black cars = 38

The total vehicles are 104.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

For every 5 red cars there are 8 black cars.

And, There are 24 more black cars than red cars.

Here, For every 5 red cars there are 8 black cars.

Hence, Number of red cars = 5x

Then, Number of red cars = 8x

And, There are 24 more black cars than red cars.

Hence, We get;

⇒ 24 + 5x = 8x

Solve for x as;

⇒ 24 = 8x - 5x

⇒ 24 = 3x

⇒ x = 8

Thus, Number of total vehicles = 5x + 8x

                                                = 5×8 + 8×8

                                                = 40 + 64

                                                = 104

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Answer:

The answer is 0.132

Step-by-step explanation:

12/10*11/100

132/1000

=0.132

construction = divide the figure into two parts.

now we have triangle abd and bdc.

first calculate the area of abd.

area of triangle= 1/2×base ×height

area of triangle= 1/2×18×7.5

area of triangle=67.5cm²

second calculate area of bdc

area of triangle=1/2×15.6×11.7

area of triangle=91.26cm²

area of the figure=area of abd + area of bdc

area of the figure=67.5cm²+ 91.26cm²

area of figure=158.76 cm².

Length of banner is 15 feet

Given that;

Width of rectangle = 9 feet

Length of rectangle = 12 feet

Find:

Length of banner

Computation:

Length of banner = Length of diagonal

[tex]Length\ of\ diagonal = \sqrt{Length^2 + Width^2}\\\\ Length\ of\ diagonal = \sqrt{12^2 + 9^2}\\\\ Length\ of\ diagonal = \sqrt{144 + 81}\\\\ Length\ of\ diagonal = \sqrt{225}\\\\ Length\ of\ diagonal = 15 \ feet[/tex]

So,

Length of banner = 15 feet

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Answer:

Product of 2,4,6 is 48❤️❤️❤️❤️

Answer:

Middle one

Step-by-step explanation:

Answer:

y=10xz

Step-by-step explanation:

Answer:

I think b

Step-by-step explanation:

need a better quality photo

Answer:

B

Step-by-step explanation:

It's a little hard to see but I'm pretty sure it's B because we're looking for a graph that has a slope of -2 so it couldn't be A or D because they have positive slopes since they are pointing up. That leaves B and C. I can't really see but C doesn't look like it has a slope of -2, so I went with B because it has a y-intercept of 3 and looks like it has a slope of -2.

Answer:

Yes

Step-by-step explanation:

Angle sum property=180°

The first triangle = 105°+40° = 145°= 180-145=35

The second triangle = 105°+35°=140°=180-140=40

So both are same

Try to find the third angle in both triangles and if the angles of both triangles are same, it means the triangles are similar

Answer:

333 use a calculator LOL

Answer:

15

Step-by-step explanation:

trust me

Answer: 5 plus 2 times 10=25

Step-by-step explanation:

Answer:

I think the answer is 24

Step-by-step explanation:

hope its helpful

Answer:

$15.30

Step-by-step explanation:

Answer:

238 gallons

Step-by-step explanation:

81 + 60 + 53 + 44 = 238

134    Step-by-step explanation:

Hello,

If you have noticed they are all right angles, which means you can use  Pythagorean theorm.

1. a^2 = 40^2 + 9^2

= a^2 + 1600 + 81

= 1681

a^2 = 1681

sovle for "a"

a = 41

hope this helps.

Half the perimeter is the length + the width.

Let the width = x

The length is x + 4. ( 4 feet more than the width)

Now you have x + x + 4 = 20

Combine like terms:

2x + 4 = 20

Subtract 4 from both sides:

2x = 16

Divide both sides by 2:

X = 8

The width is 8 feet

The length is 8 + 4 = 12 feet

Answer:12

Step-by-step explanation:

because im smart

Answer:

$28

Step-by-step explanation:

$21 is 3/7

1 part = $7

4x7=28

Answer:

Maura runs faster

Step-by-step explanation:

Set them up as fractions:

miles / hours, then divide to

compare the results:

Maura: 5 / 1.25 = 4 MPH

Ava: 3 / .83 = 3.6 MPH

Answer:

Maura.

Step-by-step explanation:

Maura:

5 miles/1.25 hours = 4 mph

Ava:

3 miles/(.83 hours) = 3.61 mph

Maura ran faster.

Answer:

Step-by-step explanation:

100 = -16t^2 + 92t

16t^2-92t + 100 = 0

4t^2 - 23t + 25 = 0

t = [23 ±√(23^2-4(4)(25))]/[2(8)] ≈ 1.5, 4.3

The rocket has altitude of 100 ft at 1.5 sec and 4.3 sec.

:::::

0 = 16t^2-92t = t(16t-92)

t = 0, 5.75

Rocket is in the air for 5.75 seconds

Answer:

5x+51

Step-by-step explanation: